Answered: compulsory training session. What is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Assume that the shortest 25% of the basketball players in this club have to attend for a compulsory training session.

What is the probability that out of 40 selected basketball players in the club, 5 or fewer of them attend the compulsory training session?

What assumption would you need to check? Please choose from below

- The boxplots indicate that the samples are fairly symmetric and the spreads are similar, so we can assume both sets of data come from normal distributions with the same spread

- Since nπnπ and n(1−π)n(1−π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution

- The points are randomly scattered around a straight line, so the assumptions of linearity and constant spread are satisfied. The shape of the histogram indicates that the residuals come from a normal distribution

- None of these

-The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population

What is the value of the test statistic? (2 dp)

What is the probability out of 40 selected basketball players in the club, 5 or fewer of them attend the compulsory training session? (provide your answers between a value 0 to 1 and for 4 decimal places)

Expert Solution

Step 1

Given :

Assume that the shortest 25% of the basketball players in this club have to attend for a compulsory training session.

Probability,p = 0.25

number of trial,n = 40

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